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Finding the Fourth Proportional to 3,808.27, 5,712.15 and 1,309.22

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Solution

The fourth proportional to 3,808.27, 5,712.15 and 1,309.22 is: 1,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.27 : 5,712.15 = 1,309.22 : x
  2. Step 2: Convert to fraction form
    3,808.27/5,712.15 = 1,309.22/x
  3. Step 3: Cross multiply
    3,808.27x = 5,712.15 × 1,309.22
  4. Step 4: Simplify right side
    3,808.27x = 7,478,458.79
  5. Step 5: Solve for x
    x = 7,478,458.79/3,808.27
  6. Step 6: Final answer
    x = 1,963.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.